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How to Think Like a Mathematician

Posted on 2010-03-15




Name:How to Think Like a Mathematician
ASIN/ISBN:052171978X
Language:English
File size:5.75 Mb
Publisher: Publisher Cambridge University Press
ISBN: 052171978X
Publish Date: edition 2009
File Type: PDF
Pages: 278 pages
File Size: 5,75 mb
   How to Think Like a Mathematician

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: A Companion to Undergraduate Mathematics By Kevin Houston

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn .

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